131312122201 has 8 divisors (see below), whose sum is σ = 143731302344. Its totient is φ = 119224120320.

The previous prime is 131312122181. The next prime is 131312122217. The reversal of 131312122201 is 102221213131.

It can be written as a sum of positive squares in 4 ways, for example, as 3933798400 + 127378323801 = 62720^2 + 356901^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131312122201 - 2²³ = 131303733593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131312122231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82793736 + ... + 82795321.

It is an arithmetic number, because the mean of its divisors is an integer number (17966412793).

Almost surely, 2^131312122201 is an apocalyptic number.

It is an amenable number.

131312122201 is a deficient number, since it is larger than the sum of its proper divisors (12419180143).

131312122201 is a wasteful number, since it uses less digits than its factorization.

131312122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165589131.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 131312122201 its reverse (102221213131), we get a palindrome (233533335332).

The spelling of 131312122201 in words is "one hundred thirty-one billion, three hundred twelve million, one hundred twenty-two thousand, two hundred one".